Question

The manufacturer of a new antidepressant claims that, among all people with depression who use the...

The manufacturer of a new antidepressant claims that, among all people with depression who use the drug, the proportion p of people who find relief from depression is at least 80%. A random sample of 205 patients who use this new drug is selected, and 160 of them find relief from depression. Based on these data, can we reject the manufacturer's claim at the 0.05 level of significance? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

The null hypothesis:

H0:

The alternative hypothesis:

H1:

The type of test statistic: (Choose one)ZtChi squareF
The value of the test statistic:
(Round to at least three decimal places.)
The critical value at the

0.05

level of significance:
(Round to at least three decimal places.)
Can we reject the claim that the proportion of people who find relief from depression using the new antidepressant is at least

80%

?
Yes No

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